Question

Scrie daca este adevarat (A) sau fals (F). ( si rezolvarea ) Urgent

Answer 1

$\dfrac{9^{15}}{8^4} = \dfrac{27^{12}}{4^9} \Leftrightarrow \dfrac{3^{2\cdot15}}{2^{3\cdot4}} = \dfrac{3^{3\cdot 12}}{2^{2\cdot 9} }\Leftrightarrow \dfrac{3^{30}}{2^{18} } = \dfrac{3^{36}}{2^{12} } \Big|\cdot 2^{12}\Leftrightarrow \dfrac{3^{30}}{2^{6} } = 3^{36}\Big|:3^{30}\Leftrightarrow \\ \\ \Leftrightarrow \dfrac{1}{2^{6} } = 3^{6} \quad (F)$

Answer 2

(3²)^15/(2³)^4=(3³)^12/(2²)^9
3^30/2^12=3^36/2^18
simplificam fractia prin 3^30/2^12
1/1=3^6/2^6
1=(3/2)^6 FALS